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Finding the Fourth Proportional to 13,106, 18,086.10 and 7,800.68

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Solution

The fourth proportional to 13,106, 18,086.10 and 7,800.68 is: 10,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106 : 18,086.10 = 7,800.68 : x
  2. Step 2: Convert to fraction form
    13,106/18,086.10 = 7,800.68/x
  3. Step 3: Cross multiply
    13,106x = 18,086.10 × 7,800.68
  4. Step 4: Simplify right side
    13,106x = 141,083,878.55
  5. Step 5: Solve for x
    x = 141,083,878.55/13,106
  6. Step 6: Final answer
    x = 10,764.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.